5 papers
Harnack Theory and Rigidity for Singular and Degenerate Fully Nonlinear Elliptic Equations with Hamiltonians
Trung-Hieu Huynh, Tan-Dat Khuu, Hoang-Hung Vo
We study regularity, Harnack inequalities, Liouville rigidity, and principal eigenvalues for viscosity solutions of singular or degenerate fully nonlinear elliptic equations $Φ(x,|…
Liouville--Type Results for Infinity Elliptic Equations Involving Gradient and Hardy--Hénon Nonlinearities
Tan-Dat Khuu, Trung-Hieu Huynh, Hoang-Hung Vo
In this paper we study Liouville-type properties for a class of degenerate elliptic equations driven by the fractional infinity Laplacian with nonlinear lower-order terms, \[ Δ_\in…
A unified clasification of Liouville properties and nontrivial solution for fractional elliptic equations with general Hénon-type superquadratic and gradient growth
Hoang-Hung Vo
We investigate Liouville-type results, existence, uniqueness and symmetry to the solution of nonlinear nonlocal elliptic equations of the form \[ Lu = |x|^γ\,H(u)\,G(\nabla u), \qq…
Harnack inequality and principal eigentheory for general infinity Laplacian operators with gradient in and applications
Anup Biswas, Hoang-Hung Vo
Under the lack of variational structure and nondegeneracy, we investigate three notions of \textit{generalized principal eigenvalue} for a general infinity Laplacian operator with…
Liouville theorems for infinity Laplacian with gradient and KPP type equation
Anup Biswas, Hoang-Hung Vo
In this paper, we prove new Liouville type results for a nonlinear equation involving infinity Laplacian with gradient of the form $$Δ^γ_\infty u + q(x)\cdot \nabla{u} |\nabla{u}|^…